29469828825 has 36 divisors (see below), whose sum is σ = 52812674460. Its totient is φ = 15708625920.

The previous prime is 29469828811. The next prime is 29469828853. The reversal of 29469828825 is 52882896492.

29469828825 is a `hidden beast` number, since 294 + 69 + 8 + 288 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14376969216 + 15092859609 = 119904^2 + 122853^2 .

It is not a de Polignac number, because 29469828825 - 2⁷ = 29469828697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 386461 + ... + 456389.

It is an arithmetic number, because the mean of its divisors is an integer number (1467018735).

Almost surely, 2^29469828825 is an apocalyptic number.

29469828825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29469828825 is a deficient number, since it is larger than the sum of its proper divisors (23342845635).

29469828825 is a wasteful number, since it uses less digits than its factorization.

29469828825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71818 (or 71810 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 29469828825 in words is "twenty-nine billion, four hundred sixty-nine million, eight hundred twenty-eight thousand, eight hundred twenty-five".